Estimates for Derivates of Holomorphic Functions in Pseudoconvex Domains.
Estimates for Integral Kernelsof mixed Type, Fractional Integration Operators, and Optimal Estimates for the ... Operator.
Estimates for the Bergman and Szegö projections for pseudoconvex domains of finite type with locally diagonalizable Levi form.
In this paper, we give precise isotropic and non-isotropic estimates for the Bergman and Szegö projections of a bounded pseudoconvex domain whose boundary points are all of finite type and with locally diagonalizable Levi form. Additional local results on estimates of invariant metrics are also given.
Estimates for the Bergman and Szegö projections in two symmetric domains of
Estimates for the Bergman kernel and metric of convex domains in ℂⁿ
Sharp geometrical lower and upper estimates are obtained for the Bergman kernel on the diagonal of a convex domain D ⊂ ℂⁿ which does not contain complex lines. It is also proved that the ratio of the Bergman and Carathéodory metrics of D does not exceed a constant depending only on n.
Estimates for the integral means of holomorphic functions on bounded domains in
Estimates for the parametrix of the Kohn Laplacian on certain domains.
Estimates for the Poisson kernels and a Fatou type theorem applications to analysis on Siegel domains
This is a short description of some results obtained by Ewa Damek, Andrzej Hulanicki, Richard Penney and Jacek Zienkiewicz. They belong to harmonic analysis on a class of solvable Lie groups called NA. We apply our results to analysis on classical Siegel domains.
Estimates for the -Neumann operator on strongly pseudo-convex domain with Lipschitz boundary.
Estimates in Sobolev norms for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions
Estimates of Invariant Metrics on Pseudoconvex Domains of Dimension Two.
Estimates of kernels on three-dimensional CR manifolds.
Estimates of -harmonic conjugate operator.
Estimates of the Bergman kernel function on certain pseudoconvex domains in Cn.
Estimates of the Kobayashi-Royden metric in almost complex manifolds
We establish a lower estimate for the Kobayashi-Royden infinitesimal pseudometric on an almost complex manifold admitting a bounded strictly plurisubharmonic function. We apply this result to study the boundary behaviour of the metric on a strictly pseudoconvex domain in and to give a sufficient condition for the complete hyperbolicity of a domain in .
Estimating the states of the Kauffman bracket skein module
The states of the title are a set of knot types which suffice to create a generating set for the Kauffman bracket skein module of a manifold. The minimum number of states is a topological invariant, but quite difficult to compute. In this paper we show that a set of states determines a generating set for the ring of characters of the fundamental group, which in turn provides estimates of the invariant.
Estimation of Lojasiewicz Exponents and Newton Polygons.
Estimation of the Carathéodory distance on pseudoconvex domains of finite type whose boundary has Levi form of corank at most one
We study the class of smooth bounded weakly pseudoconvex domains D ⊂ ℂⁿ whose boundary points are of finite type (in the sense of J. Kohn) and whose Levi form has at most one degenerate eigenvalue at each boundary point, and prove effective estimates on the invariant distance of Carathéodory. This completes the author's investigations on invariant differential metrics of Carathéodory, Bergman, and Kobayashi in the corank one situation and on invariant distances on pseudoconvex finite type domains...
Estimations du type Nevanlinna pour les applications holomorphes de dans
Estimations du type Nevanlinna pour les applications non dégénérées de dans